Pion condensation in the two--flavor chiral quark model at finite baryochemical potential

Details Pion condensation in the two--flavor chiral quark model at finite baryochemical potential Pion condensation in the two--flavor chiral quark model at finite baryochemical potential

2008-11-17

arxiv.org/abs/0811.2727v1

Phys.Rev.D78:116008,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, 5 figures, submitted to PRD

Scientific paper

10.1103/PhysRevD.78.116008

Pion condensation is studied at one--loop level and nonzero baryochemical potential in the framework of two flavor constituent quark model using the one--loop level optimized perturbation theory for the resummation of the perturbative series. A Landau type of analysis is presented for the investigation of the phase boundary between the pion condensed/non-condensed phases. The statement that the condensation starts at $\muI = m_{\pi}$ is slightly modified by one--loop corrections. The second order critical surface is determined and analysed in the $\muI-\muB-T$ space. The $\muI$ dependence of the one--loop level charged pion pole masses is also studied.

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